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Finding the Third Proportional to 93,555 and 144,023

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Solution

The third proportional to 93,555 and 144,023 is: 221,715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,555 : 144,023 = 144,023 : x
  2. Step 2: Convert to fraction form
    93,555/144,023 = 144,023/x
  3. Step 3: Cross multiply
    93,555x = 144,023 × 144,023
  4. Step 4: Simplify right side
    93,555x = 20,742,624,529
  5. Step 5: Solve for x
    x = 20,742,624,529/93,555
  6. Step 6: Final answer
    x = 221,715.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.